What is the Least Common Multiple of 60678 and 60690?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 60678 and 60690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60678 and 60690, than apply into the LCM equation.

GCF(60678,60690) = 6
LCM(60678,60690) = ( 60678 × 60690) / 6
LCM(60678,60690) = 3682547820 / 6
LCM(60678,60690) = 613757970

Least Common Multiple (LCM) of 60678 and 60690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60678 and 60690. First we will calculate the prime factors of 60678 and 60690.

Prime Factorization of 60678

Prime Factorization of 60690

Now multiplying the highest exponent prime factors to calculate the LCM of 60678 and 60690.

LCM(60678,60690) = 2¹ × 3² × 3371¹ × 5¹ × 7¹ × 17²
LCM(60678,60690) = 613757970